ABSTRACT
Modeling the development of organisms and diseases has been of interest for decades. Often, complex systems of development or signaling pathways can be explained and modeled to a high degree of accuracy with only a few simplifying assumptions. Complex systems such as pattern development, bacterial growth, and tumor formation can be modeled numerically using a reaction diffusion model with relatively few factors and still give accurate results, allowing exploration of equilibrium and non-equilibrium solutions. Here, applications of numerical diffusion to morphogenesis and bacterial growth are presented for the test cases of leopard spots and Ben-Jacob bacterial fractals, with wide-reaching implications for biological modeling.
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